On n-Frechet spaces

In this paper, we introduce the notion of n-sequential closure operators and use these operators to construct classes of n-Frechet spaces as generalizations of the class of Frechet spaces. Then we get some necessary and sufficiency conditions for a sequential space to be a Frechet space. These resul...

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Bibliographic Details
Published in:Scientia magna 2009-09, Vol.5 (3), p.49-49
Main Authors: Van Dung, Nguyen, Hang, Vo Thi Le
Format: Article
Language:English
Subjects:
Functional analysis
Operator theory
Sequences (Mathematics)
Online Access:Get full text
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Summary:In this paper, we introduce the notion of n-sequential closure operators and use these operators to construct classes of n-Frechet spaces as generalizations of the class of Frechet spaces. Then we get some necessary and sufficiency conditions for a sequential space to be a Frechet space. These results are generalizations of the preceding one of W. C. Hong in [5].
ISSN:1556-6706